For Euler's totient function φ(x), if φ(x) = 10 where x is a prime number, then the value of φ(84x) is:

If n = 22 × 53 × 7, then what is the total number of divisors of n?

Where σ(n) denotes the sum-of-divisors function, which statement is true for co-prime integers p and q?

If the prime factorization of 2700 is equal to 22 × 33 × pa, then the value of p - a is: